Prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side (Using basic proportionality theorem).

Prove that a line joining the midpoints of any two sides of a triangle is parallel to the third side. (Using converse of basic proportionality theorem)

Prove that line segment joining the midpoints of two sides of a triangle is parallel to the third side whose length is half of the length of the third side.

Show that the line segments joining the midpoints of the opposite sides of a quadrilateral and bisect each other.

The line segment joining the mid-points of two sides of triangles is parallel to the third side and is equal to ____ of its length.

Prove that the line segments joining the midpoints of the adjacent sides of a quadrilateral form a parallelogram.

A straight line drawn ____ to a side of a triangle divides the order two sides proportionality.

In a triangle bisector of an angle bisects the opposite side. Find the nature of triangle.

If the middle points of the sides of a triangle are (-2,3),(4,-3),a n d(4,5) , then find the centroid of the triangle.

State and prove Thales theorem Statement A straight line drawn parallel to a side of triangle intersecting the other two sides , divides the sides in the same ratio.

If the bisector of an angle of a triangle also bisects the opposite side, prove that the triangle is isosceles.